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Finding the Fourth Proportional to 145,089.91, 216,456.69 and 137,242.63

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Solution

The fourth proportional to 145,089.91, 216,456.69 and 137,242.63 is: 204,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,089.91 : 216,456.69 = 137,242.63 : x
  2. Step 2: Convert to fraction form
    145,089.91/216,456.69 = 137,242.63/x
  3. Step 3: Cross multiply
    145,089.91x = 216,456.69 × 137,242.63
  4. Step 4: Simplify right side
    145,089.91x = 29,707,083,648.20
  5. Step 5: Solve for x
    x = 29,707,083,648.20/145,089.91
  6. Step 6: Final answer
    x = 204,749.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.